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<div><span class="kw">theorem </span><a NAME="T41"><span class="comment"><font color="firebrick">:: TSEP_2:41</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a><br/>  for <font color="Olive" title="b2">X1</font>, <font color="Olive" title="b3">X2</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">X1</font>,<font color="Olive" title="b3">X2</font> <a href="tsep_2.html#R4" title="TSEP_2:pred.4">constitute_a_decomposition</a>  holds <br/>( <font color="Olive" title="b2">X1</font>,<font color="Olive" title="b3">X2</font> <a href="tsep_1.html#R4" title="TSEP_1:pred.4">are_weakly_separated</a>  iff <font color="Olive" title="b2">X1</font>,<font color="Olive" title="b3">X2</font> <a href="tsep_1.html#R3" title="TSEP_1:pred.3">are_separated</a>  ) <span class="kw">by</span> <span class="lab"><a class="ref" href="tsep_2.html#T29" target="_self" onmouseover="rs('tsep_2/T29')" onmouseout="rh()">Th29</a>, <a class="ref" href="tsep_1.html#T78" onmouseover="rs('tsep_1/T78')" onmouseout="rh()">TSEP_1:78</a></span>;<br/></div></div>
